\(\left|x\right|< 2\)
\(\Leftrightarrow-2< x< 2\)
`|x|<2`
`x^2<4`
`x^2-4<0`
`(x+2)(x-2)<0`
`-2<x<2`.
Ta có: |x|<2
nên \(\left\{{}\begin{matrix}x>-2\\x< 2\end{matrix}\right.\Leftrightarrow-2< x< 2\)
\(\left|x\right|< 2\)
\(\Leftrightarrow-2< x< 2\)
`|x|<2`
`x^2<4`
`x^2-4<0`
`(x+2)(x-2)<0`
`-2<x<2`.
Ta có: |x|<2
nên \(\left\{{}\begin{matrix}x>-2\\x< 2\end{matrix}\right.\Leftrightarrow-2< x< 2\)
Bài 2 :
a, \(\frac{3}{\left(x+2\right)\left(x+5\right)}+\frac{5}{\left(x+5\right)\left(x+10\right)}+\frac{7}{\left(x+10\right)\left(x+17\right)}=\frac{x}{\left(x+2\right)\left(x+17\right)}\)
b, \(\frac{2}{\left(x-1\right)\left(x-3\right)}+\frac{5}{\left(x-3\right)\left(x-8\right)}+\frac{12}{\left(x-8\right)\left(x-20\right)}-\frac{1}{\left(x-20\right)}=\frac{-3}{4}\)
Tìm x,
\(\frac{2}{\left(x+2\right)\left(x+4\right)}+\frac{4}{\left(x+4\right)\left(x+8\right)}+\frac{6}{\left(x+8\right)\left(x+14\right)}=\frac{x}{\left(x+2\right)\left(x+14\right)}\)
\(\left(x^2+5\right).\left(x-3\right)>0\)
\(\left(-x^2-7\right).\left(x+10\right)>0\)
\(\left(x-2\right).\left(x+2\right)< 0\)
\(\left(x-2\right)^2-25=0\)
\(\left(x^2+1\right).\left(x-2\right).\left(x+3\right)>0\)
Nhờ mn giúp mik với ạ
Tìm GTNN
A= \(\left(x-3y\right)^2+\left(2x-1\right)^4\)
B= \(\left|x-2\right|+\left|3x-2y\right|-4\)
C= \(\dfrac{-4}{\left|x+1\right|\left|y-3\right|+2}\)
D=\(\left|x-5\right|+\left|x-1\right|+7\)
\(\left(x+2\right)+\left(x+12\right)+\left(x+42\right)+\left(x+47\right)=655\)
\(x+\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+2009\right)=2009\cdot2010\)
Tìm x thuộc z:
\(a,\left(x^2+5\right)\left(x^2-25\right)=0\)
\(b,\left(x-2\right)\left(x+1\right)=0\)
\(c,\left(x^2+7\right)\left(x^2-49\right)< 0\)
\(d,\left(x^2-7\right)\left(x^2-49\right)< 0\)
\(e,\left(x-1\right)\left(x-2\right)\left(x^2+4\right)>0\)
GIÚP MIK VS, MIK CẦN GẤP
Tìm x
1) 70 : \(\frac{4x+720}{x}\) = 1/2
2) \(\frac{3}{\left(x+2\right)\left(x+5\right)}+\frac{5}{\left(x+5\right)\left(x+10\right)}+\frac{7}{\left(x+10\right)\left(x+17\right)}=\frac{x}{\left(x+2\right)\left(x+17\right)}\) Với x không thuộc { -2; -5; -10; -17 }
1. \(\left(1-x\right)^2+\left(3-y\right)^2+\left(y^2-x-z\right)^2=0\)
2. \(\left(x-y+z^2\right)+\left(y-2\right)^2+\left(z+3\right)^2=0\)
Làm hộ mình 2 câu này
Tìm x, biết:
a) \(\left|x-24\right|+\left|y+8\right|=1\)
b)\(\left(x-2\right)^{10}+\left|y-2\right|=0\)
c)\(x+\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+30\right)=1240\)
d)\(x+\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+2017+2018=2018\)
Giải thích cụ thể giúp mk nha
Tìm các số nguyên x thỏa mãn :
a, \(\left(x-2\right)\left(x-7\right)< 0\)
b, \(\left(x^2-3\right)\left(x^2-10\right)< 0\)
c, \(\left(x^2-1\right)\left(x^2-4\right)\left(x^2-7\right)\left(x^2-10\right)< 0\)
d, \(\left(x^3+5\right)\left(x^3+10\right)\left(x^3+15\right)\left(x^3+30\right)< 0\)